What is 0.02(18700)^{0.77}14^{-0.385} ?

The solution to 0.02(18700)^{0.77}14^{-0.385} is 18700^{0.77}*1/(50*14^{0.385)}

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simplify 0.02(18700)^{0.77}14^{-0.385}

simplify

0.02 (18700)^{0.77} 1 4^{- 0.385}

1870 0^{0.77} \cdot \frac{1}{50 \cdot 1 4 ^{0.385}}

Solution steps

0.02 \cdot 1870 0^{0.77} \cdot 1 4^{- 0.385}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1 4^{- 0.385} = \frac{1}{1 4 ^{0.385}}

= 0.02 \cdot 1870 0^{0.77} \cdot \frac{1}{1 4 ^{0.385}}

0.02 \cdot 1870 0^{0.77} \cdot \frac{1}{1 4 ^{0.385}} = \frac{0.02}{1 4 ^{0.385}} \cdot 1870 0^{0.77}

= \frac{0.02}{1 4 ^{0.385}} \cdot 1870 0^{0.77}

\frac{0.02}{1 4 ^{0.385}} = \frac{2}{100 \cdot 1 4 ^{0.385}}

= \frac{2}{100 \cdot 1 4 ^{0.385}} \cdot 1870 0^{0.77}

Cancel the numbers:

\frac{2}{100} = \frac{1}{50}

= \frac{1}{50 \cdot 1 4 ^{0.385}} \cdot 1870 0^{0.77}

= 1870 0^{0.77} \cdot \frac{1}{50 \cdot 1 4 ^{0.385}}

\frac{3}{2 π}

e^{- s t} (e^{7 t})

8.5 x 1 0^{- 3}

What is 0.02(18700)^{0.77}14^{-0.385} ?
The solution to 0.02(18700)^{0.77}14^{-0.385} is 18700^{0.77}*1/(50*14^{0.385)}